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A322545 Continued fraction for cos(gamma). 1
0, 1, 5, 5, 1, 4, 8, 1, 1, 1, 1, 2, 1, 1, 1, 3, 1, 18, 1, 73, 2, 5, 3, 5, 4, 1, 1, 1, 7, 1, 4, 2, 1, 1, 32, 12, 2, 19, 8, 1, 1, 1, 1, 1, 3, 5, 2, 70, 1, 6, 6, 1, 52, 2, 1, 2, 10, 1, 1, 1, 4, 1, 3, 1, 5, 1, 7, 3, 1, 1, 1, 20, 5, 6, 6, 2, 4, 3, 7, 1, 1, 2, 10, 1, 9, 12, 45, 1, 16, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Continued fraction of the real part of exp(i*gamma) = cos(gamma) (A119806), where gamma is the Euler-Mascheroni constant (A001620).

See A322601 for the continued fraction of imaginary part.

LINKS

Table of n, a(n) for n=1..90.

EXAMPLE

0 + 1/(1 + 1/(5 + 1/(5 + 1/(1 + 1/(4 + 1/(8 + 1/(1 + ...))))))) = 0.8379852878801965399549928...

MAPLE

with(numtheory): cfrac(cos(gamma), 100, 'quotients'); # Muniru A Asiru, Dec 20 2018

MATHEMATICA

ContinuedFraction[ Cos[EulerGamma], 100]

PROG

(PARI) contfrac(cos(Euler)) \\ Michel Marcus, Dec 21 2018

CROSSREFS

Cf. A119806 (decimal expansion), A001620 (Euler-Mascheroni constant), A322601.

Sequence in context: A236555 A282969 A046095 * A256737 A055183 A198740

Adjacent sequences:  A322542 A322543 A322544 * A322546 A322547 A322548

KEYWORD

nonn,cofr

AUTHOR

Tristan Cam, Dec 20 2018

STATUS

approved

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Last modified July 18 19:00 EDT 2019. Contains 325144 sequences. (Running on oeis4.)